FC Increasing and Decreasing Practice

FOR EACH GRAPH MATCH THE INCREASING INTERVALS.

• Not increasing

• 
• (-inf,3)(3,inf)

• 
• (-inf,-0.4)(.4, inf)

• 
• (0, inf)

• 
• (-inf,inf)

• 

For what intervals of x is f(x) decreasing?

• -1≤x≤4
• -1<x<4
• -7<x<2
• x≥0

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the interval of decrease for Graph #8?

• (-∞, 0) ∪ (2, ∞)

• (0, 2)

• (-∞, 2)

• (2, ∞)

Answer explanation

Graph #8 decreases in the intervals where the slope is negative. Analyzing the graph, it decreases from -∞ to 0 and from 2 to ∞, confirming the correct choice is (-∞, 0) ∪ (2, ∞).

For Graph #9, what is the interval where the function is increasing?

• (-1, 0) ∪ (1, ∞)

• (-∞, -1) ∪ (0, 1)

• (-∞, 0) ∪ (1, ∞)

• (0, 1) ∪ (1, ∞)

Answer explanation

The function is increasing in the intervals where the slope is positive. For Graph #9, this occurs in the intervals (-1, 0) and (1, ∞), making the correct answer (-1, 0) ∪ (1, ∞).

For Graph #10, what is the interval where the function is decreasing?

• (-1, 0) ∪ (1, ∞)

• (-∞, -1) ∪ (0, 1)

• (-∞, 0) ∪ (1, ∞)

• (0, 1) ∪ (1, ∞)

Answer explanation

The function is decreasing in the intervals where the slope is negative. For Graph #10, this occurs in the intervals (-1, 0) and (1, ∞), making the correct answer (-1, 0) ∪ (1, ∞).

For Graph #11, what is the interval where the function is decreasing?

• (3, 5)

• (-∞, 3)

• (5, ∞)

• (-∞, 5)

Answer explanation

The function is decreasing in the interval (3, 5) as indicated by the graph. In this range, the y-values of the function decrease as x increases, confirming that this is the correct interval for decreasing behavior.

For Graph #12, what is the interval where the function is increasing?

• (4, 6)

• (-∞, 4)

• (6, ∞)

• (-∞, 6)

Answer explanation

The function is increasing in the interval (4, 6) as indicated by the graph. In this range, the y-values rise as x-values increase, confirming that this is the correct interval for the function's increase.

What are the local maxima of this graph?

• local maximum at (2.2, 3.9)
• local maximum at (-8, 5)
• local maximum at (5, -8) and (3.9, 2.2)

• local maximum at (-8, 5) and (2.2, 3.9)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the interval of increase and decrease in the following function.

• Increasing at (-8, -6) and (-3, 1)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

What is the interval of increase of this function?

• (1, ∞)
• None
• (2, ∞)
• (-∞, ∞)